A generalization of the so-called Zolotarev polynomial is investigated though the theory of twists and that of generalized Jacobian varieties. As an application, extremal properties, rationality, and a relation with multigrades are revealed.
A kind of fixed-point problem in the area of discrete tomography is proposed and investigated. Our chief concern in this paper is the case of square windows in the plane. Dealing with the arrays which are bounded, of polynomial growth, and finite-ring-valued, one comes across several interesting phenomena of combinatorial and arithmetic nature. In the… (More)